Download Bubble Wake Dynamics in Liquids and Liquid–Solid Suspensions by Liang-Shih FAN, Katsumi Tsuchiya, Howard Brenner PDF

By Liang-Shih FAN, Katsumi Tsuchiya, Howard Brenner

This booklet is dedicated to a basic realizing of the fluid dynamic nature of a bubble wake, extra in particular the first wake, in beverages and liquid-solid suspensions, an dto the function it performs in numerous vital circulate phenomena of multiphase structures. Examples of those phenomena are liquid/solids blending, bubble coalescence and disintergration, particle entrainment to the freeboard, and mattress contraction.

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Extra resources for Bubble Wake Dynamics in Liquids and Liquid–Solid Suspensions

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The contribution of the second factor has been less extensively studied. 6 mm to clarify the effect of disturbances introduced at the bubble injection and induced by the external flow. 4 mm, the bubble rose rectilinearly with no oscillations. 0 mm, the bubble always zigzagged. 0 mm, the bubble zigzagged if the injection was made with minimum disturbances. The bubble, however, spiraled once it was hit by an obstacle placed above the injector or in the bubble path. 6 mm) rose. This spiral motion could be attributed to disturbances induced by the breakup at the injection moment.

6 for hot tap water (at 49°C) used by Haberman and Morton (1953). The value of K , on the other hand, was found to vary from one liquid to another, ranging from 12 to 40. 2 for aqueous solutions (or water) and organic solvents/mixtures, respectively. If K calculated from Eq. 13) is less than 12, then a K equal to 12 should be used. 5. 11 Terminal velocity of air bubbles in purified liquids. coincidence between these ratios may reflect a higher susceptibility of water or water-containing liquids to surface-active agents compared to organic liquids.

1 lists the most commonly used correlations available in the literature. , 1978)] Ta = ß e e M o . , 1978). 7) where Fre (= U /gd ) is the Froude number. , 1967). 7) also indicates that the dependence of the bubble shape on Ta can be equivalent to that on x A We or Eo if Fre is constant or varies as a function of ReeMo ^ (Churchill, 1988). 2. Kojima et al. 1. 7 shows the bubble aspect ratio as a function of Ta. TadakiMaeda's (1961) correlation [Eq. 1a)], which is the most widely accepted, and its extended form by Vakhrushev and Efremov (1970) [Eq.

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